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Universal Scaling Laws of Absorbing Phase Transitions in Artificial Deep Neural Networks

  • Conventional artificial deep neural networks operating near the phase boundary of signal propagation dynamics exhibit universal scaling laws in non-equilibrium statistical mechanics.
  • Multilayer perceptrons and convolutional neural networks belong to the mean-field and directed percolation universality classes, respectively.
  • Finite-size scaling suggests a potential connection to the depth-width trade-off in deep learning.
  • Hyperparameter tuning to the phase boundary is necessary but insufficient for achieving optimal generalization in deep networks, indicating the importance of nonuniversal metric factors.

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